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Finding the Fourth Proportional to 653.03, 979.14 and 263.09

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Solution

The fourth proportional to 653.03, 979.14 and 263.09 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.03 : 979.14 = 263.09 : x
  2. Step 2: Convert to fraction form
    653.03/979.14 = 263.09/x
  3. Step 3: Cross multiply
    653.03x = 979.14 × 263.09
  4. Step 4: Simplify right side
    653.03x = 257,597.05
  5. Step 5: Solve for x
    x = 257,597.05/653.03
  6. Step 6: Final answer
    x = 394.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.